Two Sides of a Triangle Are $2 \mathrm {~m}$ And $3 \mathrm {~m}$

question 1

Multiple Choice

Two sides of a triangle are $2 \mathrm {~m}$ and $3 \mathrm {~m}$ in length and the angle between them is increasing at a rate of $0.06 \mathrm { rad } / \mathrm { s }$ . Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is $\frac { \pi } { 3 }$ .

• A) \(1.145 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• B) \(- 0.955 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• C) \(0.090 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• D) \(5.045 \mathrm {~m} ^ { 2 } / \mathrm { s }\)
• E) \(- 1.955 \mathrm {~m} ^ { 2 } / \mathrm { s }\)

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Definitions:

Classical Conditioning

A teaching method in which a response originally triggered by a second stimulus is ultimately triggered by the first stimulus after the two stimuli have been repeatedly associated.

Latent Learning

A form of learning that occurs without any obvious reinforcement of the behavior or associations that are learned, becoming apparent only when there is an incentive to demonstrate it.

Classical Conditioning

Classical conditioning is a learning process that occurs through associations between an environmental stimulus and a naturally occurring stimulus.

Operant Conditioning

A method of learning that occurs through rewards and punishments for behavior.